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Finding the Fourth Proportional to 156,993.68, 216,652.82 and 85,375.25

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Solution

The fourth proportional to 156,993.68, 216,652.82 and 85,375.25 is: 117,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,993.68 : 216,652.82 = 85,375.25 : x
  2. Step 2: Convert to fraction form
    156,993.68/216,652.82 = 85,375.25/x
  3. Step 3: Cross multiply
    156,993.68x = 216,652.82 × 85,375.25
  4. Step 4: Simplify right side
    156,993.68x = 18,496,788,670.71
  5. Step 5: Solve for x
    x = 18,496,788,670.71/156,993.68
  6. Step 6: Final answer
    x = 117,818.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.